Parameter scaling in a novel measure of quantum-classical difference for decohering chaotic systems
| dc.creator | Wiebe, Nathan | |
| dc.creator | Sripakdeevong, Parin | |
| dc.creator | Gammal, Arnaldo | |
| dc.creator | Pattanayak, Arjendu K. | |
| dc.date | 2009-04-21 | |
| dc.date.accessioned | 2026-07-07T13:07:11Z | |
| dc.date.available | 2026-07-07T13:07:11Z | |
| dc.description | In this paper we introduce a diagnostic for measuring the quantum-classical difference for open quantum systems, which is the normalized size of the quantum terms in the Master equation for Wigner function evolution. For a driven Duffing oscillator, this measure shows remarkably precise scaling over long time-scales with the parameter $ζ_0=\hbar^2/D$. We also see that, independent of $ζ_0$ the dynamics follows a similar pattern. For small $ζ_0$ all of our curves collapses to essentially a single curve when scaled by the maximum value of the quantum-classical difference. In both limits of large and small $ζ_0$ we see a saturation effect in the size of the quantum-classical difference; that is, the instantaneous difference between quantum and classical evolutions cannot be either too small or too large. | |
| dc.description | 4 pages, submitted at Physical Review | |
| dc.identifier | https://arxiv.org/abs/0904.3353 | |
| dc.identifier | http://arxiv.org/abs/0904.3353 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/228008 | |
| dc.subject | Quantum Physics | |
| dc.title | Parameter scaling in a novel measure of quantum-classical difference for decohering chaotic systems | |
| dc.type | text |